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Finding the Fourth Proportional to 1,746.46, 2,409.90 and 1,038.32

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Solution

The fourth proportional to 1,746.46, 2,409.90 and 1,038.32 is: 1,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.46 : 2,409.90 = 1,038.32 : x
  2. Step 2: Convert to fraction form
    1,746.46/2,409.90 = 1,038.32/x
  3. Step 3: Cross multiply
    1,746.46x = 2,409.90 × 1,038.32
  4. Step 4: Simplify right side
    1,746.46x = 2,502,246.30
  5. Step 5: Solve for x
    x = 2,502,246.30/1,746.46
  6. Step 6: Final answer
    x = 1,432.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.